Conserved Current - Conserved Currents in Electromagnetism

Conserved Currents in Electromagnetism

The conservation of charge, for example, in the notation of Maxwell's equations,


\frac{\partial \rho} {\partial t} + \nabla \cdot \mathbf{J} = 0

where:

ρ is the free electric charge density (in units of C/m³)

J is the current density:

J = v

v is the velocity of the charges.

The equation would apply equally to masses (or other conserved quantities), where the word mass is substituted for the words electric charge above.

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